251284113 has 32 divisors (see below), whose sum is σ = 381398400. Its totient is φ = 165512160.

The previous prime is 251284097. The next prime is 251284133. The reversal of 251284113 is 311482152.

It is not a de Polignac number, because 251284113 - 2⁴ = 251284097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (251284133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193998 + ... + 195288.

It is an arithmetic number, because the mean of its divisors is an integer number (11918700).

Almost surely, 2^251284113 is an apocalyptic number.

It is an amenable number.

251284113 is a deficient number, since it is larger than the sum of its proper divisors (130114287).

251284113 is an frugal number, since it uses more digits than its factorization.

251284113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 251284113 is about 15851.9435086049. The cubic root of 251284113 is about 631.0372708279.

It can be divided in two parts, 25128 and 4113, that added together give a square (29241 = 171²).

The spelling of 251284113 in words is "two hundred fifty-one million, two hundred eighty-four thousand, one hundred thirteen".